Calculating Profit and Profit Percentage
The problem asks us to find the profit and profit percentage for a television sale.
Given Data:
- Cost Price (CP) = ₹ 15,400
- Selling Price (SP) = ₹ 18,060
Step 1: Calculate Profit
Profit is the difference between the selling price and the cost price.
Formula: \( \text{Profit} = \text{SP} - \text{CP} \)
Calculation:
\( \text{Profit} = ₹ 18,060 - ₹ 15,400 \)
\( \text{Profit} = ₹ 2,660 \)
Step 2: Calculate Profit Percentage
Profit percentage is calculated based on the cost price.
Formula: \( \text{Profit \%} = \left( \frac{\text{Profit}}{\text{CP}} \right) \times 100 \)
Calculation:
\( \text{Profit \%} = \left( \frac{₹ 2,660}{₹ 15,400} \right) \times 100 \)
\( \text{Profit \%} = \left( \frac{2660}{15400} \right) \times 100 \)
\( \text{Profit \%} = \left( \frac{266}{1540} \right) \times 100 \)
\( \text{Profit \%} = \left( \frac{19}{110} \right) \times 100 \)
\( \text{Profit \%} = \frac{1900}{110} \)
\( \text{Profit \%} \approx 17.27\% \)
Conclusion:
The profit is ₹ 2,660 and the profit percentage is approximately 17.27%.
Important Questions from Profit and Loss
Rohit buys 8 pens and 4 pencils for Rs. 2400. He sells pencils at a profit of 20 percent and pens at the loss of 10 percent. If his overall profit is Rs. 240, then what is the sum of the cost price of one pen and one pencil?
A man sells a car to his friend at the loss of 10 %; who in return sells it for Rs. 54000 making a profit of 20 %. What was the initial value of the car?
An article was sold at a loss of 24%. If it were sold for Rs. 1,596 more, then there would have been a gain of 18%, The cost price of the article is:
The cost price of an article is Rs.6,450. If it sold at a profit 16%, how much would be its selling price?
If the selling price of 7 articles is equal to the cost price of 6 articles, then what is the percentage loss?
